Question

Help!! - 2.10 - (4 points)

Answer 1

Answer:

Approach: Difference of Squares Pattern

$4 {x}^{2} - 25 = (2x - 5)(2x + 5)$

Step-by-step explanation:

The given binomial is:

$4 {x}^{2} - 25$

We can rewrite to obtain:

${(2x)}^{2} - {5}^{2}$

This is a difference of two squares, so we will factor using difference of squares pattern.

Recall that:

${a}^{2} - {b}^{2} = (a + b)(a - )$

If we let

$a = 2x$

and

$b = 5$

Then we can factor the given binomial to obtain:

${2x}^2 - {5}^{2} = (2x - 5)(2x + 5)$

$\therefore4 {x}^{2} - 25 = (2x - 5)(2x + 5)$